Numerical integration of the HD 23472 system between the first HARPS data epoch and the TESS transit event epoch on the inner planet. Panel a: evolution of the two-planet circular fit tabulated in Table 2. Panel b: evolution of a full dynamical model to the HARPS data, which is consistent with a moderately eccentric inner planet at start (e_bint. = 0.2) and thus stronger orbital oscillations. The mean period ratio in both cases is slightly above 5:3, which may indicate a resonant system.